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Verified Answer :

Thank you for posting your math question here at brainly. I think the choices for the above problem is the below, it can be found elsewhere. 

a. x = −5
b. x = −3
c. x = 3
d. x = 5

The answer is d. I hope it helps. 

InesWalston

Answer-

The axis of symmetry is  \(x=5\)

Solution-


The parabolic equation given is,

\(h(x) = 6x^2-60x+147\)

Here,  

a = 6, b = -60, c = 147

The equation of the axis of symmetry is,

\(x=-\dfrac{b}{2a}\)

Putting the values,

\(\Rightarrow x=-\dfrac{-60}{2\times 6}\\\\\Rightarrow x=\dfrac{60}{12}\\\\\Rightarrow x=5\)

Therefore, the axis of symmetry is \(x=5\)

View image InesWalston

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